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Finding the Fourth Proportional to 23,461, 35,195.12 and 7,882.28

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Solution

The fourth proportional to 23,461, 35,195.12 and 7,882.28 is: 11,824.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,461 : 35,195.12 = 7,882.28 : x
  2. Step 2: Convert to fraction form
    23,461/35,195.12 = 7,882.28/x
  3. Step 3: Cross multiply
    23,461x = 35,195.12 × 7,882.28
  4. Step 4: Simplify right side
    23,461x = 277,417,790.47
  5. Step 5: Solve for x
    x = 277,417,790.47/23,461
  6. Step 6: Final answer
    x = 11,824.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.